9672721920 has 560 divisors, whose sum is σ = 35744667552. Its totient is φ = 2508226560.

The previous prime is 9672721889. The next prime is 9672721939. The reversal of 9672721920 is 291272769.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132503004 + ... + 132503076.

Almost surely, 2^9672721920 is an apocalyptic number.

9672721920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9672721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872333776).

9672721920 is an abundant number, since it is smaller than the sum of its proper divisors (26071945632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9672721920 is an frugal number, since it uses more digits than its factorization.

9672721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 9672721920 is about 98349.9970513472. The cubic root of 9672721920 is about 2130.6702116288.

The spelling of 9672721920 in words is "nine billion, six hundred seventy-two million, seven hundred twenty-one thousand, nine hundred twenty".